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arXiv · 1807.09147

On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules

Yohei Ito·Kiyoshi Takeuchi
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Abstract

We study Fourier transforms of regular holonomic D-modules. In particular we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic D-modules will be given. Moreover we give a new proof to the classical theorem of Brylinski and improve it by showing its converse.

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Yohei Ito, Kiyoshi Takeuchi. 2018-07-24. On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules. https://arxiv.org/abs/1807.09147

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